Question

what is the smallest number by which 576 should be multiplied so that the product is a perfect cube

Answer 1

here, for making the product perfect cube, above number needs minimum two more 3s.

So that, every factor has exponent 3

So, two more threes means 3 x 3

= 9 , so the given number is to be multiplied by 9

Answer 2

hy friend                        

                              here is your answer

                                                                                                                     

prime factorization of 576

567  = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3  

     should be multiplied by

√ 3 in order to obtain a perfect cube

                                                                                                           

                                     thankyou

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